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12234221000 = 2353611311531
BaseRepresentation
bin10110110010011011…
…10110010111001000
31011120121211211011022
423121031312113020
5200023430033000
65341553452012
7612114106541
oct133115662710
934517754138
1012234221000
115208998351
122455271008
1311cc841131
14840b8b4c8
154b90d9585
hex2d93765c8

12234221000 has 128 divisors (see below), whose sum is σ = 29338657920. Its totient is φ = 4773600000.

The previous prime is 12234220997. The next prime is 12234221009. The reversal of 12234221000 is 12243221.

It is a self number, because there is not a number n which added to its sum of digits gives 12234221000.

It is not an unprimeable number, because it can be changed into a prime (12234221009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7990235 + ... + 7991765.

It is an arithmetic number, because the mean of its divisors is an integer number (229208265).

Almost surely, 212234221000 is an apocalyptic number.

12234221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12234221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14669328960).

12234221000 is an abundant number, since it is smaller than the sum of its proper divisors (17104436920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12234221000 is a wasteful number, since it uses less digits than its factorization.

12234221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 12234221000 its reverse (12243221), we get a palindrome (12246464221).

The spelling of 12234221000 in words is "twelve billion, two hundred thirty-four million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 125 131 200 244 250 262 305 488 500 524 610 655 1000 1048 1220 1310 1525 1531 2440 2620 3050 3062 3275 5240 6100 6124 6550 7625 7655 7991 12200 12248 13100 15250 15310 15982 16375 26200 30500 30620 31964 32750 38275 39955 61000 61240 63928 65500 76550 79910 93391 131000 153100 159820 186782 191375 199775 200561 306200 319640 373564 382750 399550 401122 466955 747128 765500 799100 802244 933910 998875 1002805 1531000 1598200 1604488 1867820 1997750 2005610 2334775 3735640 3995500 4011220 4669550 5014025 7991000 8022440 9339100 10028050 11673875 12234221 18678200 20056100 23347750 24468442 25070125 40112200 46695500 48936884 50140250 61171105 93391000 97873768 100280500 122342210 200561000 244684420 305855525 489368840 611711050 1223422100 1529277625 2446844200 3058555250 6117110500 12234221000